What is the Least Common Multiple of 377 and 382?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 377 and 382 is 144014.
LCM(377,382) = 144014
Least Common Multiple of 377 and 382 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 377 and 382, than apply into the LCM equation.
GCF(377,382) = 1
LCM(377,382) = ( 377 × 382) / 1
LCM(377,382) = 144014 / 1
LCM(377,382) = 144014
Least Common Multiple (LCM) of 377 and 382 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 377 and 382. First we will calculate the prime factors of 377 and 382.
Prime Factorization of 377
Prime factors of 377 are 13, 29. Prime factorization of 377 in exponential form is:
377 = 131 × 291
Prime Factorization of 382
Prime factors of 382 are 2, 191. Prime factorization of 382 in exponential form is:
382 = 21 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 377 and 382.
LCM(377,382) = 131 × 291 × 21 × 1911
LCM(377,382) = 144014
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